Details

Time bar (total: 3.0s)

sample20.0ms

Algorithm
intervals
Results
10.0ms323×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.0b
(* (/ x y) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
5.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series97.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (+ x 4.0) y)
49.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify116.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0341425
11212395
24978394
35002394

prune201.0ms

Filtered
88 candidates to 63 candidates (71.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

4.0b
(* (/ x y) z)
13.3b
(cbrt (* (/ x y) z))
13.3b
(cbrt (* (/ x y) z))
13.3b
(cbrt (* (/ x y) z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(* (/ x y) z)
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))

series268.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (/ x y) z)
83.0ms
(cbrt (* (/ x y) z))
83.0ms
(cbrt (* (/ x y) z))
82.0ms
(cbrt (* (/ x y) z))

simplify55.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0218353
1726305
22826277
35002273

prune347.0ms

Filtered
74 candidates to 55 candidates (74.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4.0) (* x z))
2.7b
(/ (- (+ x 4.0) (* x z)) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 flip3-- diff-log flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
2 → 44
Calls
2 calls:
5.0ms
(- (+ x 4.0) (* x z))
7.0ms
(/ (- (+ x 4.0) (* x z)) y)

series69.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(- (+ x 4.0) (* x z))
46.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify79.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0206339
1735314
23242314
35001314

prune112.0ms

Filtered
50 candidates to 37 candidates (74.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
4.0b
(* (/ x y) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
35×add-sqr-sqrt
30×cbrt-prod
22×add-cube-cbrt
20×associate-*l*
13×pow1
12×cbrt-div
11×add-exp-log
10×times-frac associate-*r*
9×swap-sqr add-cbrt-cube
8×pow1/3
6×flip3-+ flip-+ distribute-lft-out unswap-sqr
4×frac-times add-log-exp
3×pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×associate-*r/ pow-sqr *-commutative pow-prod-up
1×cbrt-undiv pow2 pow-plus div-exp div-inv
Counts
4 → 107
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
10.0ms
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
6.0ms
(* (/ x y) z)

series485.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
172.0ms
(cbrt y)
111.0ms
(* (cbrt (+ x 4.0)) (cbrt (+ x 4.0)))
24.0ms
(* (/ x y) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0401634
11402590
25002544

prune332.0ms

Filtered
119 candidates to 82 candidates (68.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes93.0ms

Accuracy

71.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.0b

bsearch62.0ms

Steps
ItersRangePoint
7
9.38799135485801e+17
5.175139968754377e+19
9.518014050110065e+17
6
-4.9616708661001533e+154
-9.640648726346929e+153
-9.766987291728539e+153

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample496.0ms

Algorithm
intervals
Results
293.0ms10106×body80valid